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Finding the Fourth Proportional to 502,723.14, 754,084.86 and 147,737.16

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Solution

The fourth proportional to 502,723.14, 754,084.86 and 147,737.16 is: 221,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,723.14 : 754,084.86 = 147,737.16 : x
  2. Step 2: Convert to fraction form
    502,723.14/754,084.86 = 147,737.16/x
  3. Step 3: Cross multiply
    502,723.14x = 754,084.86 × 147,737.16
  4. Step 4: Simplify right side
    502,723.14x = 111,406,355,615.40
  5. Step 5: Solve for x
    x = 111,406,355,615.40/502,723.14
  6. Step 6: Final answer
    x = 221,605.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.